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math.NT2008★ 7 cited
On the non-existence of exceptional automorphisms on Shimura curves
Aristides Kontogeorgis, Victor Rotger
We study the group of automorphisms of Shimura curves attached to an Eichler order of square-free level in an indefinite rational quaternion algebra of discriminant…
math.NT2008
Introducing Ramanujan's Class Polynomials in the Generation of Prime Order Elliptic Curves
Elisavet Konstantinou, Aristides Kontogeorgis
In this paper, we propose the use of Ramanujan class of polynomials for the construction of prime order elliptic curves using the CM-method. We compare (theoretically and experimen…
math.NT2005
Actions of Galois groups on invariants of number fields
Aristides Kontogeorgis
In this paper we investigate the connection between relations among various invariants of number field s coresponding to subgroups acting on and of linear relations a…